tan X = |YZ| / |XZ| = 20/8 = 5/2
X = arctan(5/2) = 68.2°
Answer: 68.2°
The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.
In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are
sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]
cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]
tan A =[tex]\frac{opposite side}{adjacent side}[/tex]
Given YZ=20cm and XZ=8cm
Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )
tan (∠YXZ ) =20/8 =2.5
∠YXZ = arctan (2.5) =68.2°
Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.
Learn more about trigonometric ratios here :
brainly.com/question/22384999
#SPJ2
